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21223120031022 = 23713433832360203
BaseRepresentation
bin1001101001101011001001…
…00001111100110100101110
32210010220120201120212211110
410310311210201330310232
510240204422211443042
6113045433341132450
74320214461525120
oct464654441746456
983126521525743
1021223120031022
116842746a76688
122469223b5a126
13bac440795970
145352c119b210
1526c0de69109c
hex134d6487cd2e

21223120031022 has 128 divisors (see below), whose sum is σ = 53596041117696. Its totient is φ = 5452859647872.

The previous prime is 21223120031011. The next prime is 21223120031041. The reversal of 21223120031022 is 22013002132212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 21223120031022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7811973 + ... + 10172175.

It is an arithmetic number, because the mean of its divisors is an integer number (418719071232).

Almost surely, 221223120031022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223120031022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26798020558848).

21223120031022 is an abundant number, since it is smaller than the sum of its proper divisors (32372921086674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21223120031022 is a wasteful number, since it uses less digits than its factorization.

21223120031022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360654.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21223120031022 its reverse (22013002132212), we get a palindrome (43236122163234).

The spelling of 21223120031022 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred twenty million, thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 78 86 91 129 182 258 273 301 383 546 559 602 766 903 1118 1149 1677 1806 2298 2681 3354 3913 4979 5362 7826 8043 9958 11739 14937 16086 16469 23478 29874 32938 34853 49407 69706 98814 104559 115283 209118 214097 230566 345849 428194 642291 691698 1284582 1498679 2360203 2997358 4496037 4720406 7080609 8992074 14161218 16521421 30682639 33042842 49564263 61365278 92047917 99128526 101488729 184095834 202977458 214778473 304466187 429556946 608932374 644335419 710421103 903957749 1288670838 1319353477 1420842206 1807915498 2131263309 2638706954 2711873247 3958060431 4262526618 5423746494 6327704243 7916120862 9235474339 11751450737 12655408486 18470948678 18983112729 23502901474 27706423017 35254352211 37966225458 38870183207 55412846034 70508704422 77740366414 82260155159 116610549621 164520310318 233221099242 246780465477 272091282449 493560930954 505312381691 544182564898 816273847347 1010624763382 1515937145073 1632547694694 3031874290146 3537186671837 7074373343674 10611560015511 21223120031022